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Finding the Third Proportional to 192,648 and 296,475

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Solution

The third proportional to 192,648 and 296,475 is: 456,259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,648 : 296,475 = 296,475 : x
  2. Step 2: Convert to fraction form
    192,648/296,475 = 296,475/x
  3. Step 3: Cross multiply
    192,648x = 296,475 × 296,475
  4. Step 4: Simplify right side
    192,648x = 87,897,425,625
  5. Step 5: Solve for x
    x = 87,897,425,625/192,648
  6. Step 6: Final answer
    x = 456,259.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.